Real-Life Linear Systems: Solve Word Problems with Variables

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 35 adult tickets and 15 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If they want to save a total of $300 together, how many weeks will it take for them to reach their goal?

• 20 weeks

• 12 weeks

• 15 weeks

• 10 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 60 legs, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 50 miles

• 120 miles

• 75 miles

• 100 miles

Two friends, Alex and Jamie, are collecting baseball cards. Alex has 3 times as many cards as Jamie. If together they have 80 cards, how many cards does each friend have?

• Alex has 40 cards and Jamie has 40 cards.

• Alex has 70 cards and Jamie has 10 cards.

• Alex has 60 cards and Jamie has 20 cards.

• Alex has 50 cards and Jamie has 30 cards.

A bakery sells muffins and cookies. Each muffin costs $2 and each cookie costs $1. If a customer buys a total of 30 items for $50, how many muffins and cookies did they buy?

• 15 muffins and 15 cookies

• 25 muffins and 5 cookies

• 10 muffins and 20 cookies

• 20 muffins and 10 cookies

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there?

• 25 boys and 25 girls

• 40 boys and 10 girls

• 15 boys and 35 girls

• 30 boys and 20 girls

A gym charges a monthly fee of $25 plus $5 for each class attended. If a member paid $60 this month, how many classes did they attend?

• 5

• 10

• 7

• 3

A bookstore sells novels for $12 and magazines for $5. If a customer bought a total of 15 items for $120, how many novels and magazines did they purchase?

• 4 novels and 11 magazines

• 7 novels and 8 magazines

• 5 novels and 10 magazines

• 6 novels and 9 magazines

A concert hall has two types of tickets: VIP tickets for $100 and regular tickets for $50. If they sold 200 tickets for a total of $12,000, how many VIP and regular tickets were sold?

• 30 VIP tickets and 170 regular tickets

• 50 VIP tickets and 150 regular tickets

• 60 VIP tickets and 140 regular tickets

• 40 VIP tickets and 160 regular tickets